Geodesia

Geodesia
Geodesia

Calculos de Coordenadas Geodesicas o Geograficas
Calculos de Coordenadas Geodesicas o Geograficas
Vega
Vega
S = Distancia elipsoidal entre las estaciones
α = Azimut Geodésico
R = Radio de curvatura en el meridiano
N’ = Radio d curvatura en el vertical primario
Φ = Latitud Geodésica conocida
ƛ = Longitud Geodésica conocida
∆α = Convergencia de meridianos
S =Distancia elipsoidal entre las estaciones
α = Azimut Geodésico
R = Radio de curvatura en el meridiano
N’ = Radio d curvatura en el vertical primario
Φ = Latitud Geodésica conocida
ƛ = Longitud Geodésica conocida
∆α = Convergencia de meridianos
SFco
SFco

284*06’30.11’’
284*06’30.11’’

89*36’31.10’’
89*36’31.10’’
25,462.341
25,462.341

Φ = 19*45’39.46781’’ Latitud

Φ =19*45’39.46781’’ Latitud

ƛ = - 69*37’29.36721’’ Longitud
ƛ = - 69*37’29.36721’’ Longitud
Ocoa
Ocoa

h = 21.15 m
h = 21.15 m

1- α = 284*06’30.11’’ + 89*36’31.10’’ = 373*43’1.21’’ – 360* = 13*43’1.21’’
S = 25,462.341
a(1 – e2) 6378137 (1 – 0.0066943801)
(1–e2 sinΦ2)1.5 (1–0.0066943801(sin19*45’39.46781’’)2 )1.5
a(1 – e2)6378137 (1 – 0.0066943801)
(1–e2 sinΦ2)1.5 (1–0.0066943801(sin19*45’39.46781’’)2 )1.5

2- R = = = 6,342,718.39965

3- B = 1 / R sin 1’’ = 1 / ( 6,342,718.39965 sin 1’’) = 0.032519937549
6378137
(1–0.0066943801(sin19*45’39.46781’’)2 )0.56378137
(1–0.0066943801(sin19*45’39.46781’’)2 )0.5

4- N = a/(1 – e2 sinΦ2)0.5 = = 6,380,578.7752
TanΦ Tang 19*45’39.46781’’
2 N R sin1’’ (2 x 6380578.7752 ( 6,342,718.39965 sin 1’’)
TanΦTang 19*45’39.46781’’
2 N R sin1’’ (2 x 6380578.7752 ( 6,342,718.39965 sin 1’’)

5- C = = = 9.15502824202x10-10

6- D =
6- D =
1.5 e2 sinΦ cosΦ sin1’’
Alvaro Luis Duarte Castillo
Alvaro Luis Duarte Castillo
= 1.5502117505x10-8
= 1.5502117505x10-81- e2 sin Φ2
D =
D =
1.5 x 0.0066943801 sin19*45’39.46781’’ Cos 19*45’39.46781’’ sin 1’’
(1 – 0.0066943801 (sin19*45’39.46781’’)2

7- Δɸ = (S cos α) B + S2 (sin α) 2 C + ((S cos α) B)2 D
Δɸ = (25,462.341 cos 13*43’1.21’’) 0.032519937549 + 25,462.3412 (sin13*43’1.21’’)2 9.15502824202x10-10 + ((25,462.341cos13*43’1.21’’)0.032519937549)2 x1.5502117505x10-8
Δɸ = 804.417218689 + 0.033374621 + 0.0100312197 = 804.460624529
Δɸ = 804.460624529 ÷ 3600 = 0*13’24.46062’’
8- Φ’ = Φ ± ΔΦ = 19*45’39.46781’’ + 0*13’24.46062’’ = 19*59’03.92843’’ (Latitud Vega)
9- N’ = a / (1- e2 (sin ɸ’)2 )0.5
= 6,380,632.07357
= 6,380,632.07357
N’ =
N’ =
6378137(1–0.0066943801(sin19*59’03.92843’’)2)0.5

10- A’ = 1/N’ sin 1’’ = 1 ÷ (6,380,632.07357 sin 1’’) = 0.0323267042935

11- Δƛ = (S sin α) A’ sec Φ’
Δƛ = (25,462.341 sin13*43’1.21’’) (0.0323267042935 (1÷ cos 19*59’03.92843’’) = 207.68780
Δƛ = 207.68780 ÷ 3,600 = 0*03’27. 68780’’

12- ƛ’ = ƛ ± ∆ƛ = - 69*37’29.36721’’ + 0*03’27. 68780’’ = - 69*34’1.67441’’ (Longitud Vega)
13- Φm = (Φ + Φ’) / 2 = (19*45’39.46781’’+ 19*59’03.92843’’) /2 = 19*52’21.69812’’

14- ∆α = ∆ƛ sin Φm = 207.68780 sin19*52’21.69812’’ = 70.59690’’ ÷ 3600 = 0*01’10.59960’’

15- Az,Vega – Ocoa = 13*43’1.21’’ + 0*01’10.59960’’ + 180* = 193*44’11.88’’



Practica # I, Alvaro Luis Duarte CG - 8809
Resistencia de figura y cálculo de coordenadas Geográficas...